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math.AP2022
Instability of hysteretic phase interfaces in a mean-field model with inhomogeneities
Michael Herrmann, Barbara Niethammer
We study a system of non-identical bistable particles that is driven by a dynamical constraint and coupled through a non-local mean-field. Assuming piecewise affine constitutive la…
math.AP2022
Qualitative properties of solutions to a non-local free boundary problem modeling cell polarization
Anna Logioti, Barbara Niethammer, Matthias Röger +1
We consider a parabolic non-local free boundary problem that has been derived as a limit of a bulk-surface reaction-diffusion system which models cell polarization. The authors hav…